Volume 77, Number 5, March 2007
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||21 February 2007|
Growing network with j-redirection
GRAPES, Université de Liège - B5 Sart-Tilman, B-4000 Liège, Belgium
Accepted: 8 January 2007
A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when a new node enters the network, it either connects to a randomly selected node, or to the j-ancestor of this selected node. The j-ancestor is found by following j links from the randomly selected node. The system is shown to undergo a transition to a phase where condensates develop. We also find analytical predictions for the height statistics and show numerically the non-trivial behaviour of the degree distribution.
PACS: 89.75.Fb – Structures and organization in complex systems / 87.23.Ge – Dynamics of social systems / 89.75.Hc – Networks and genealogical trees
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.